T - the type of the field elementspublic interface FieldDecompositionSolver<T extends FieldElement<T>>
Decomposition algorithms decompose an A matrix has a product of several specific matrices from which they can solve A × X = B in least squares sense: they find X such that ||A × X - B|| is minimal.
Some solvers like FieldLUDecomposition can only find the solution for
square matrices and when the solution is an exact linear solution, i.e. when
||A × X - B|| is exactly 0. Other solvers can also find solutions
with non-square matrix A and with non-null minimal norm. If an exact linear
solution exists it is also the minimal norm solution.
| Modifier and Type | Method and Description |
|---|---|
FieldMatrix<T> |
getInverse()
Get the inverse (or pseudo-inverse) of the decomposed matrix.
|
boolean |
isNonSingular()
Check if the decomposed matrix is non-singular.
|
FieldMatrix<T> |
solve(FieldMatrix<T> b)
Solve the linear equation A × X = B for matrices A.
|
FieldVector<T> |
solve(FieldVector<T> b)
Solve the linear equation A × X = B for matrices A.
|
FieldVector<T> solve(FieldVector<T> b)
The A matrix is implicit, it is provided by the underlying decomposition algorithm.
b - right-hand side of the equation A × X = BDimensionMismatchException - if the matrices dimensions do not match.SingularMatrixException - if the decomposed matrix is singular.FieldMatrix<T> solve(FieldMatrix<T> b)
The A matrix is implicit, it is provided by the underlying decomposition algorithm.
b - right-hand side of the equation A × X = BDimensionMismatchException - if the matrices dimensions do not match.SingularMatrixException - if the decomposed matrix is singular.boolean isNonSingular()
FieldMatrix<T> getInverse()
SingularMatrixException - if the decomposed matrix is singular.Copyright © 2003–2016 The Apache Software Foundation. All rights reserved.